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Finding the Fourth Proportional to 2,972.39, 4,453.07 and 2,148.62

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Solution

The fourth proportional to 2,972.39, 4,453.07 and 2,148.62 is: 3,218.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.39 : 4,453.07 = 2,148.62 : x
  2. Step 2: Convert to fraction form
    2,972.39/4,453.07 = 2,148.62/x
  3. Step 3: Cross multiply
    2,972.39x = 4,453.07 × 2,148.62
  4. Step 4: Simplify right side
    2,972.39x = 9,567,922.25
  5. Step 5: Solve for x
    x = 9,567,922.25/2,972.39
  6. Step 6: Final answer
    x = 3,218.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.